That's just plain silly!
For a start, we were already members of the EU at the time of the vote. You appear to be suggesting that we should have left the EU even if literally no-one (including members of government, from PM down, who all have votes) had voted to leave. Had that been someone's plan/intention, there clearly would have been no point in any voting!
Even if we had been starting from scratch, voting on whether we should join the EU for the first time, if literally 100% (including any aspiring dictator, who would presumably have a vote) voted to join, that would leave literally no-one to have a different view, let alone 'implement' it!
It seems a little ironic that someone should be writing the above whilst displaying a flag belonging to an EU Member Sate that has not yet even felt it necessary to have a vote on continued membership!